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Finding the Third Proportional to 54,532 and 116,834

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Solution

The third proportional to 54,532 and 116,834 is: 250,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,532 : 116,834 = 116,834 : x
  2. Step 2: Convert to fraction form
    54,532/116,834 = 116,834/x
  3. Step 3: Cross multiply
    54,532x = 116,834 × 116,834
  4. Step 4: Simplify right side
    54,532x = 13,650,183,556
  5. Step 5: Solve for x
    x = 13,650,183,556/54,532
  6. Step 6: Final answer
    x = 250,315.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.